Evaluate the function f(x) = -2x² - 3x + 5 for the input value -3.

Solution:

It is given that,

f(x) = -2x² - 3x + 5

We have to solve this for x = -3.

f(-3) = -2(-3)² - 3(-3) + 5

By further calculation

f(-3) = -2(9) + 9 + 5

So we get

f(-3) = -18 + 14

f(-3) = -4

Thus, by evaluating the function f(x) = -2x² - 3x + 5 for the input value -3 we have got f(-3) = -4.

Evaluate the function f(x) = -2x² - 3x + 5 for the input value -3.

Summary:

Evaluating the function f(x) = -2x² - 3x + 5 for the input value -3 we have got f(-3) = -4.